What is the answer to -2|4n+16|+3=-21 ?

The answer to -2|4n+16|+3=-21 is n=-7\lor n=-1

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-2|4n+16|+3=-21

- 2 ∣ 4 n + 16 ∣ + 3 = - 21

n = - 7 or n = - 1

Solution steps

- 2 ∣ 4 n + 16 ∣ + 3 = - 21

Move

3

to the right side

- 2 ∣ 4 n + 16 ∣ = - 24

Divide both sides by

- 2

∣ 4 n + 16 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 n + 16 = - 12 or 4 n + 16 = 12

4 n + 16 = - 12 or 4 n + 16 = 12

n = - 7 or n = - 1

∣ - 11 + 4 y ∣ = 2

2 + 6 ∣ 6 x + 5 ∣ = 104

∣ - 7 x + 3 ∣ = 1

12 + ∣ 3 x + 7 ∣ = 0

∣ z - 8 ∣ = ∣ z + 8 ∣

What is the answer to -2|4n+16|+3=-21 ?
The answer to -2|4n+16|+3=-21 is n=-7\lor n=-1
Solve for n: -2|4n+16|+3=-21
The solution is n=-7\lor n=-1